Best Answer - Chosen by Asker

Asker's Rating:
5 out of 5
Asker's Comment:
Any number that reduces to one when you take the sum of the square of its digits and continue iterating it until it yields 1 is a happy number, any number that doesn't, isn't. A happy prime is a number that is both happy and prime

Find the next number in the sequence

Find the next number in the following sequence: 1, 4, 9, 16, 25,....

I notice that 12 = 1, 22 = 4, 32 = 9, 42 = 16, and 52 = 25. So it looks as though the pattern here is squaring. That is, for the first term (the 1-st term), it looks like they squared 1; for the second term (the 2-nd term), they squared 2; for the third term (the 3-rd term), they squared 3; and so on. For the n-th term ("the enn-eth term"), they will probably want me to square n. In particular, for the sixth term, they will probably want me to square 6.